| Unit name | Engineering Mathematics 2 |
|---|---|
| Unit code | EMAT20200 |
| Credit points | 20 |
| Level of study | I/5 |
| Teaching block(s) |
Teaching Block 4 (weeks 1-24) |
| Unit director | Dr. Homer |
| Open unit status | Not open |
| Units you must take before you take this one (pre-requisite units) |
EMAT10100 Engineering Mathematics 1 |
| Units you must take alongside this one (co-requisite units) |
None |
| Units you may not take alongside this one |
None |
| School/department | School of Engineering Mathematics and Technology |
| Faculty | Faculty of Engineering |
Why is this unit important?
This is the second of the two units that cover the underpinning mathematics you need to be a professional engineer, and a key component of the requirements of all our professionally-accredited programmes. It aims to equip you with competency in the first principles of mathematics and statistics required to solve complex engineering problems, as well as experience in using the techniques to analyse complex problems and reach substantiated conclusions. The unit focuses on three new areas: equation-based modelling (vector calculus) and analysis (linear systems and PDEs) tools, together with data-based methods (applied statistics), all taught from the perspective of why they’re needed to solve practical problems. You’ll learn in an interdisciplinary engineering cohort, and benefit from the power of mathematics as a universal language that transcends the different engineering disciplines, enabling you to work across discipline boundaries and translate methods and solutions from different domains.
How does this unit fit into your programme of study
This unit builds directly on the skills, knowledge, and experience you gained in the Year 1 unit Engineering Mathematics 1. You’ll develop and enrich your mathematical and statistical toolkit and learn how to model and analyse a much broader range of complex engineering problems; Engineering Mathematics 2 takes the concepts of calculus and modelling into multi-dimensional settings and introduces notions of uncertainty and statistical modelling in much greater depth. It feeds directly into a wide range of units in later years, forming the foundation of both computational and analytically-based mandatory and optional units across all engineering programmes.
An overview of content
The unit is divided into three main sections; topics covered will include:
How will students, personally, be different as a result of the unit
Throughout this unit there is a focus on you continuing to develop your problem-solving skills using the mathematical techniques taught in the unit, deepening and enriching the skills developed in year 1. As a result of this unit, you will be better equipped to model and analyse increasingly complex unseen real-world problems by using mathematical concepts such as vector calculus, integral transforms, and statistical modelling. You will be able to formulate engineering problems in multiple dimensions using mathematical notation and equations and you will appreciate both equation-based and statistical modelling and analysis. You will also be able to abstract from an engineering or physical concept to a mathematical representation, in order to identify solution strategies. You will come to understand more of the connection between different mathematical problems, which you will then build on as you develop your engineering analysis skills in the next part of your study, to enable a future career in the engineering sector.
Learning outcomes
On successful completion of this unit, you will be able to:
1. Explain mathematical and applied statistics principles that can be used in the solution of engineering problems
2. Analyse complex problems to reach substantiated conclusions using first principles of mathematics and applied statistics
3. Apply mathematical modelling and analysis methods including vector calculus, integral transforms, and the analysis of partial differential equations to analyse signals and systems, explain the behaviour of systems, and solve problems in engineering
4. Apply statistical modelling methods including hypothesis testing and linear regression to draw inferences from data and solve problems in engineering
Teaching will be delivered through a combination of synchronous and asynchronous sessions, including pre-recorded video lectures, on-campus lecture/Q&A sessions, and formative self-directed exercises. The unit will be supported by regular drop-in sessions where you can get one-to-one help, as well as an online forum where you can receive rapid answers to pressing questions. You will be expected to actively participate in the lecture/Q&A sessions and to engage with the videos, self-directed exercises, and drop-in sessions.
Tasks which help you learn and prepare you for summative tasks (formative):
Formative tasks include weekly problem sheets, which combine simpler questions that enable you to practice the basic concepts and more challenging questions that serve as practice examples for the main summative exam. All such questions will either have written worked solutions provided, or the solutions will be worked through together in class. Links to additional relevant questions in recommended textbooks will also be providedto assist students who wish to further practice their skills and/or test their knowledge. To aid preparation for the summative assessment, a number of past papers and full worked solutions will be made available, together with class-level feedback on areas of strength and weakness.
Tasks which count towards your unit mark (summative):
The unit will be assessed by a single (100%) exam in the TB2 assessment period. The exam will assess all learning outcomes.
When assessment does not go to plan:
Re-assessment takes the same form as the original summative assessment.
If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.
If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. EMAT20200).
How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the University Workload statement relating to this unit for more information.
Assessment
The assessment methods listed in this unit specification are designed to enable students to demonstrate the named learning outcomes (LOs). Where a disability prevents a student from undertaking a specific method of assessment, schools will make reasonable adjustments to support a student to demonstrate the LO by an alternative method or with additional resources.
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. For appropriate assessments, if you have self-certificated your absence, you will normally be required to complete it the next time it runs (for assessments at the end of TB1 and TB2 this is usually in the next re-assessment period).
The Board of Examiners will take into account any exceptional circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.
